Band Gap Estimation of D-LEGO Meta-structures Using FRF-Based Substructuring and Bloch Wave Theory
Document Type
Conference Proceeding
Publication Date
7-6-2022
Department
Department of Mechanical Engineering-Engineering Mechanics
Abstract
Periodic structures are found to exhibit band gaps which are frequency bandwidths where structural vibrations are absorbed. In this paper, meta-structures are built by dynamically linking oscillators in a periodic pattern, which are referred to as dynamically linked element grade oscillators or D-LEGOs. The location of the band gaps is numerically determined for a one-dimensional D-LEGO. The unit cell for the D-LEGO structure is considered to be made up of two longitudinal bar elements of different properties. For such a structure, the frequency response functions (FRFs) of a single unit cell are used to estimate the band gaps of a periodic-lattice structure by adapting the Bloch wave theory. Alternatively, the FRF of the multi-unit cell is determined using FRF-based substructuring (FBS) approach. The band gaps resulting from these two approaches are compared and verified.
Publication Title
Conference Proceedings of the Society for Experimental Mechanics Series
ISBN
9783031040931
Recommended Citation
Gosavi, H.,
Pratapa, P.,
&
Malladi, V.
(2022).
Band Gap Estimation of D-LEGO Meta-structures Using FRF-Based Substructuring and Bloch Wave Theory.
Conference Proceedings of the Society for Experimental Mechanics Series, 41-47.
http://doi.org/10.1007/978-3-031-04094-8_5
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/16311